In the second group of the integral special functions, the integrands
include special functions and the most known and applied are the integral
Bessel functions [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}
\(\begin{array}{l}\displaystyle \mathrm {Ji}_{\nu }\left( x\right) =-\int _{x}^{\infty }\frac{J_{\nu }\left(t\right) }{t}dt, \\\displaystyle \mathrm {Yi}_{\nu }\left( x\right) =-\int _{x}^{\infty }\frac{Y_{\nu }\left(t\right) }{t}dt, \\\displaystyle \mathrm {Ii}_{\nu }\left( x\right) =-\int _{0}^{x}\frac{I_{\nu }\left(t\right) }{t}dt, \\\displaystyle \mathrm {Ki}_{\nu }\left( x\right) =-\int _{x}^{\infty }\frac{K_{\nu }\left(t\right) }{t}dt.\end{array}\) 
